Thermal and electrical conductivity in white dwarfs and neutron stars

Astronomy and Astrophysics – Astronomy

Scientific paper

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Electrical Resistivity, Neutron Stars, Thermal Conductivity, White Dwarf Stars, Coulomb Collisions, Electron Scattering, Stellar Envelopes

Scientific paper

Simple relativistic expressions are derived for the electron contribution to the thermal and electrical conductivities in the degenerate core of a white dwarf and the degenerate layers of a neutron-star envelope. At temperatures T above the crystallization temperature T(M) of the ions (the crystal melting point), the main factor governing thermal and electrical conductivities will be the scattering of electrons by ions; for T less than T(M) the dominant process will be scattering by crystal lattice vibrations (phonons) or, if T is low enough, by impurities in the crystal structure. In the ionic-scattering case, thermal and electrical conductivities can be simply expressed in terms of the Coulomb logarithm, for which a convenient interpolation formula is obtained.

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